11. A hot bowl of soup is served at a dinner party. It starts to cool according to Newton's Law of Cooling, so its temperature at time t is given by T(t) = 65 + 145e-0.05t where t is measured in minutes and T is measured in °F. a. What is the initial temperature of the soup? b. What is the temperature after 10 minutes? c. After how long will the temperature be 100 °F? d. Find lim T(t) and explain your answer in the context of the problem. t-00

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
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11. A hot bowl of soup is served at a dinner party. It starts to cool according to Newton's Law of
Cooling, so its temperature at time t is given by
T(t) = 65 + 145e-
2-0.05t
where t is measured in minutes and T is measured in °F.
a. What is the initial temperature of the soup?
b. What is the temperature after 10 minutes?
c. After how long will the temperature be 100 °F?
d. Find lim T(t) and explain your answer in the context of the problem.
t-00
Transcribed Image Text:11. A hot bowl of soup is served at a dinner party. It starts to cool according to Newton's Law of Cooling, so its temperature at time t is given by T(t) = 65 + 145e- 2-0.05t where t is measured in minutes and T is measured in °F. a. What is the initial temperature of the soup? b. What is the temperature after 10 minutes? c. After how long will the temperature be 100 °F? d. Find lim T(t) and explain your answer in the context of the problem. t-00
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